A post to the Infogrames
Forums by Epic's Mark Rein (thanks POPE and Jean Paul Lebreton) gives a
status report on progress on the Unreal Tournament 2003 demo, saying that they
would provide an update on those forums when they think (emphasis Mark's)
they are about a week out from a release, but they were not yet that close.
Here's the deal:

We understand you are anxious for the demo

We understand you are anxious for the demo but posting "where is the
demo" threads here won't make it appear any sooner. When we think we're
close to the demo (i.e. within 5-7 days) we'll let everyone know officially
through this forum. We're not there yet, we're still more than a week away. We
could be more than two weeks or even more than three weeks away. We're not
holding out on people, we're just not done with the game yet and although a lot
of the game is coming together very quickly we still have no 100% (or even 80%)
accurate way to predict exactly when that will be. I promise the development
team is working very, very hard to get an awesome, polished UT2003 in your
hands. The demo will be released when we think we've got all the major
functionality of the game complete so that the feedback from the demo can be
focused 100% on things we weren't already aware needed to be addressed.